Mathematics – Probability
Scientific paper
Apr 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985sva....29..162i&link_type=abstract
(Astronomicheskii Zhurnal, vol. 62, Mar.-Apr. 1985, p. 283-290) Soviet Astronomy (ISSN 0038-5301), vol. 29, Mar.-Apr. 1985, p. 1
Mathematics
Probability
Atmospheric Scattering, Line Spectra, Radiative Transfer, Atomic Excitations, Optical Thickness, Probability Theory, Trajectory Analysis
Scientific paper
It is shown that the square-root laws that occur in many problems of multiple-scattering theory and that have long seemed puzzling admit of a straightforward probabilistic interpretation. It is demonstrated that the square root of the direct photon-escape probability that occurs in various problems of line-radiation transfer comes about through a combination of half-space geometry and the longest-flight approximation (LFA). In effect this represents the half-space version of the Rybicki-Hummer (1982) LFA.
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